Online GCD Calculator is useful to find the GCD of 301, 299, 118, 180 quickly. Get the easiest ways to solve the greatest common divisor of 301, 299, 118, 180 i.e 1 in different methods as follows.
Given Input numbers are 301, 299, 118, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 301 :
The positive integer divisors of 301 that completely divides 301 are.
1, 7, 43, 301
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (301, 299, 118, 180) = 1.
Given numbers are 301, 299, 118, 180
The list of prime factors of all numbers are
Prime factors of 301 are 7 x 43
Prime factors of 299 are 13 x 23
Prime factors of 118 are 2 x 59
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 301, 299, 118, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(301, 299) = 89999
GCD(301, 299) = ( 301 x 299 ) / 89999
= 301 / 299
= 301
Step2:
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
= 1 / 118
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 301, 299, 118, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 301, 299, 118, 180
The greatest common divisor of numbers 301, 299, 118, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 301, 299, 118, 180 is 1.
1. What is the GCD of 301, 299, 118, 180?
GCD of given numbers 301, 299, 118, 180 is 1
2. How to calculate the greatest common divisor of 301, 299, 118, 180?
We can find the highest common divisor of 301, 299, 118, 180 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 301, 299, 118, 180 i.e 1.
3. How can I use the GCD of 301, 299, 118, 180Calculator?
Out the numbers 301, 299, 118, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.